Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

26 matches:

  1.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 5:   5 Lessons on Integration/
  3.    wt: 5:   4 Lessons on Using Derivatives/
  4.    wt: 5:   38 Lessons on Calculating Derivatives/
  5.    wt: 5:   13 Lessons on Limits and Continuity/
  6.    wt: 4:   70 Calculus Starter Lessons/
  7.    wt: 2:   B Real Numbers Extrinsic Development/
  8.    wt: 2:   A Origins of Counting and Figuring Methods/
  9.    wt: 2:   10 Examples of Algebraic Reasoning/
  10.    wt: 2:   9 Proportionality Backwards and Forwards/
  11.    wt: 2:   8 Unifying Theme For Algebra/
  12.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  13.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  14.    wt: 2:   5 Real Numbers/
  15.    wt: 2:   4 Computation Rules and Function Notation/
  16.    wt: 2:   Step 4 Gaussian Elimination/
  17.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  18.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   3 Solving Linear Equations/
  21.    wt: 2:   2 Formula Forward Use Evaluation/
  22.    wt: 2:   1 Working With Sets/
  23.    wt: 2:   Algebra Starter Lessons/
  24.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  25.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  26.    wt: 1:   Mathematics 506 Lessons/

Web Page Search

28 matches:

  1.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  2.    wt: 2:   website reviews
  3.    wt: 2:   Chapter 3 Algebra Starter Lessons
  4.    wt: 1:   Skills Chapter 5 Calculus
  5.    wt: 1:   8 analytic geometry etc
  6.    wt: 1:   6 polynomials etc
  7.    wt: 1:   5 logarithms and exponentials etc
  8.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  9.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  10.    wt: 1:   1 Calculator Starter Exercises
  11.    wt: 1:   7 Links Lessons Elsewhere
  12.    wt: 1:   12 Links Lessons elsewhere
  13.    wt: 1:   3 Counting with Sets etc
  14.    wt: 1:   A Related lessons in Volume 3
  15.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  16.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  17.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  18.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  19.    wt: 1:   Chapter 9 About First Courses in Calculus
  20.    wt: 1:   Fall 1983 Calculus Appetizer
  21.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  22.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  23.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  24.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  25.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  26.    wt: 1:   More Algebra and Slope based Calculus Preview
  27.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  28.    wt: 1:   Site Reviews

Extended Search

299 matches:

  1.    wt: 6:   A Related lessons in Volume 3
  2.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  3.    wt: 5:   Example 2 volume of a cone
  4.    wt: 5:   Example 1 volume of a pyramid
  5.    wt: 5:   Volume of Solid by Cross Sections Lesson
  6.    wt: 5:   Example 1. Area Between x and x squared
  7.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  8.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  9.    wt: 5:   Example 4 with x function of y
  10.    wt: 5:   Example 3
  11.    wt: 5:   Example 2
  12.    wt: 5:   Example 1
  13.    wt: 5:   Area Between Curves Lesson Take 2
  14.    wt: 5:   Area Between Curves Lesson Take 1
  15.    wt: 5:   Summary
  16.    wt: 5:   A Related Material in Volume 3
  17.    wt: 5:   5 Area Under Curve Exercise
  18.    wt: 5:   4 Definite Integrals Evaluation Exercises
  19.    wt: 5:   3 Two Chain Rule Method Exercises
  20.    wt: 5:   2 Indefinite Integrals Exercises
  21.    wt: 5:   1 Chain Rule in Reverse Integration Method
  22.    wt: 5:   4 Second derivative test exercise example
  23.    wt: 5:   3 Second derivative test
  24.    wt: 5:   2 Second derivative test prequel
  25.    wt: 5:   A Chain Rule Real Player video examples
  26.    wt: 5:   38 Formulas and derivatives for powers and roots
  27.    wt: 5:   36 Cube root derivative animated
  28.    wt: 5:   34 Derivative of exponential function
  29.    wt: 5:   33 Chain Rule Real Player video examples
  30.    wt: 5:   31 Derivatives of inverse functions
  31.    wt: 5:   30Chain Rule A Proof
  32.    wt: 5:   29 Chain Rule Optional Reading
  33.    wt: 5:   28 Chain Rule Preparation for a Proof
  34.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  35.    wt: 5:   26 Chain Rule Recognising outer inner functions
  36.    wt: 5:   25 Chain Rule Animated Examples Continued
  37.    wt: 5:   24 Chain Rule Animated Examples
  38.    wt: 5:   23 Chain Rule in general
  39.    wt: 5:   22 Chain Rule for polynomials
  40.    wt: 5:   21 Chain Rule for powers
  41.    wt: 5:   20 Chain Rule for Pulley Systems
  42.    wt: 5:   19 Chain Rule for linear functions
  43.    wt: 5:   18 Chain Rule Introduction
  44.    wt: 5:   17 Derivatives of quotients of sine and cosine
  45.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  46.    wt: 5:   15 sine and cosine derivatives 3rd step
  47.    wt: 5:   14 sine and cosine derivatives 2nd step
  48.    wt: 5:   13 sine and cosine derivatives 1st step
  49.    wt: 5:   12 Quotient rule examples
  50.    wt: 5:   11 Quotient rule
  51.    wt: 5:   10 Power rule for negative integers
  52.    wt: 5:   9 Reciprocal rule
  53.    wt: 5:   8 Differentiation of polynomials
  54.    wt: 5:   7 Animated Differentiation Examples
  55.    wt: 5:   6 Power rule from product rule
  56.    wt: 5:   5 Product Rule
  57.    wt: 5:   4 Sum Rule
  58.    wt: 5:   3 Motivation for Limit Definition Take 2
  59.    wt: 5:   2 Motivation for Limit Definition Take 1
  60.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  61.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  62.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  63.    wt: 5:   11 Limits at infinity Three Examples
  64.    wt: 5:   10 Three one sided limits with infinite values
  65.    wt: 5:   9 Limits Continuity and Composition
  66.    wt: 5:   8 Four Animated Examples
  67.    wt: 5:   7 Evaluation by immediate or delayed substitution
  68.    wt: 5:   6 Continuity at a point
  69.    wt: 5:   5 Jumps and absence of unlimited error control
  70.    wt: 5:   4 Numerical properties
  71.    wt: 5:   3 Decimal insights for limits continuity convergence
  72.    wt: 5:   2 Algebraic codification
  73.    wt: 5:   1 Numerical introduction
  74.    wt: 3:   3 Counting with Sets etc
  75.    wt: 3:   Chapter 9 About First Courses in Calculus
  76.    wt: 3:   Fall 1983 Calculus Appetizer
  77.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  78.    wt: 2:   website reviews
  79.    wt: 2:   musings do not puiblish real numbers
  80.    wt: 2:   A Modular and Remainder Arithmetic
  81.    wt: 2:   A Signed Number Arithmetic Review
  82.    wt: 2:   26 More Less Greater Than Comparison
  83.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  84.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  85.    wt: 2:   23 Distributive Law Two Derivations
  86.    wt: 2:   22 Multiplication of Signed Numbers
  87.    wt: 2:   21 Addition of Multiples of a Single Vector
  88.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  89.    wt: 2:   19 Signed Multiples of Vectors
  90.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  91.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  92.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  93.    wt: 2:   15 Head to Tails in place Addition Associative
  94.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  95.    wt: 2:   13 Arrows and Vectors in a Plane
  96.    wt: 2:   12 Real Numbers Line Signed Coordinates
  97.    wt: 2:   11 Signed Number Addition and Addition Properties
  98.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  99.    wt: 2:   9 Division with Digits after Decimal Point
  100.    wt: 2:   8 Division and Mulplication of Compound Fractions
  101.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  102.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  103.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  104.    wt: 2:   4 Location of Point in Decimal Addition
  105.    wt: 2:   3 Location of Point in Decimal Multiplication
  106.    wt: 2:   2 Counting Digits in Decimal Multiplication
  107.    wt: 2:   1 Fractions with Finite Decimal Expansions
  108.    wt: 2:   E Long Division Methods more
  109.    wt: 2:   D Long Division Methods
  110.    wt: 2:   C Three Decimal Subtraction Methods
  111.    wt: 2:   B Decimal Comparison and Subtraction
  112.    wt: 2:   A Decimal Addition Columm Methods
  113.    wt: 2:   8 Column Multiplication Methods in General
  114.    wt: 2:   7 Decimals Multiplication Methods Examples
  115.    wt: 2:   6 Column Methods for Decimal Multiplication
  116.    wt: 2:   5 Distributive Law for Whole Numbers
  117.    wt: 2:   4 Commutative Law Groups Counting Form
  118.    wt: 2:   3 Multiplicative Counting Skills Principles
  119.    wt: 2:   2 Combing Counts Addition Skills and Principles
  120.    wt: 2:   1 The Counting Origins of Numbers
  121.    wt: 2:   5 Areas of Rectangles Revisited
  122.    wt: 2:   4 Fraction Operations Axiomatic Development
  123.    wt: 2:   3 Inequalities Algebraically
  124.    wt: 2:   2 Fraction Operations Physical Development
  125.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  126.    wt: 2:   5 Proportionality in Equivalent Fractions
  127.    wt: 2:   4 Rates Ratios and Proporitionality
  128.    wt: 2:   3 Proportionality Examples
  129.    wt: 2:   2 Algebraic View
  130.    wt: 2:   1 What is Proportionality
  131.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  132.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  133.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  134.    wt: 2:   6 Compound Interest Forward and Backwards
  135.    wt: 2:   5 Triangle Area Formula Backwards
  136.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  137.    wt: 2:   3 Linear Equation Literal Solution More
  138.    wt: 2:   2 Linear Equation Literal Solution
  139.    wt: 2:   1 Changing Calculations
  140.    wt: 2:   6 Equations and Systems Equivalent or Implied
  141.    wt: 2:   5 Equality in Algebra
  142.    wt: 2:   4 Subtraction and Division Axioms
  143.    wt: 2:   3 Product Axioms Two Forms
  144.    wt: 2:   2 Addition and Multiplication Axioms
  145.    wt: 2:   1 Equivalent Computation Rules
  146.    wt: 2:   5 Greater More Less Than Signs in General
  147.    wt: 2:   4 Comparison of Negative Numbers
  148.    wt: 2:   3 More and Less Than with Unlike Signs
  149.    wt: 2:   2 More and Less Than for Counts and Measures
  150.    wt: 2:   1 Real Numbers Comparison
  151.    wt: 2:   16 Real Numbers Comparison
  152.    wt: 2:   15 Real Number Division
  153.    wt: 2:   14 Real Number Multiplication
  154.    wt: 2:   13 Real Number Subtraction
  155.    wt: 2:   12 Real Number Additive Inverses or Negatives
  156.    wt: 2:   11 Real Number Addition
  157.    wt: 2:   10 Real Number Lengths and Signs
  158.    wt: 2:   9 Coordinates for Regions in Space
  159.    wt: 2:   8 Coordinates for Maps and Planes
  160.    wt: 2:   7 Real Numbers as Line Cordinates
  161.    wt: 2:   6 Unsigned Real Numbers
  162.    wt: 2:   5 Rational Numbers More
  163.    wt: 2:   4 Rational Numbers
  164.    wt: 2:   3 Fractions
  165.    wt: 2:   2 Integers
  166.    wt: 2:   1 Whole and Natural Numbers
  167.    wt: 2:   5 Independent versus Dependent Variables
  168.    wt: 2:   4 Changing Letters
  169.    wt: 2:   3 Geometric Formulas and Function Notation
  170.    wt: 2:   2 Computation Rules Evaluation
  171.    wt: 2:   1 Formulas Dependence and Function Notation
  172.    wt: 2:   More Exercises
  173.    wt: 2:   Simple Exercises
  174.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  175.    wt: 2:   4 GE III Animated Examples
  176.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  177.    wt: 2:   3 GE III Equation Addition and Multiplication
  178.    wt: 2:   2 GE II Comparison
  179.    wt: 2:   1 GE Substitution four examples
  180.    wt: 2:   4 Solving a triangular system exercise
  181.    wt: 2:   3 Solving triangular system example
  182.    wt: 2:   2 Essentially one exercises three with solution
  183.    wt: 2:   1 Essentially One Unknown
  184.    wt: 2:   6 Algebraic Solution Example
  185.    wt: 2:   5 Algebraic Solutions Introduction
  186.    wt: 2:   4 Four Examples Fractional Coefficients
  187.    wt: 2:   3 Four Examples
  188.    wt: 2:   2 Three Examples
  189.    wt: 2:   1 Proper Equal Sign Usage
  190.    wt: 2:   Skill Development Notes
  191.    wt: 2:   10 One Example
  192.    wt: 2:   9 Three Examples
  193.    wt: 2:   8 One Example
  194.    wt: 2:   7 Two Examples
  195.    wt: 2:   6 Three Examples
  196.    wt: 2:   5 Three Examples
  197.    wt: 2:   4 Two Examples
  198.    wt: 2:   3 Two Examples
  199.    wt: 2:   2 Three Examples
  200.    wt: 2:   Using Letters for Physical Quantities
  201.    wt: 2:   Formula Usage Show Work Format
  202.    wt: 2:   13 Naming Identifying Formulas with Words
  203.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  204.    wt: 2:   11 Volume of Sphere
  205.    wt: 2:   10 Volume of Pyramid
  206.    wt: 2:   9 Volume of Cone
  207.    wt: 2:   8 Compound Interest Formula Evaluation
  208.    wt: 2:   7 Compound Interest Formula Introduction
  209.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  210.    wt: 2:   5 Box Volume Formula Example
  211.    wt: 2:   4 Circle Area Formula Example
  212.    wt: 2:   3 Triangle Area Formula Example
  213.    wt: 2:   2 Another Rectangle Area Formula Example
  214.    wt: 2:   1 Written work formats for developing and showing skill
  215.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  216.    wt: 2:   9 Sets in Probability and Statistics
  217.    wt: 2:   8 Sets of Numbers
  218.    wt: 2:   7 Cautious or Safe Set Construction
  219.    wt: 2:   6 Power Set Notation
  220.    wt: 2:   5 Product Builder Notation
  221.    wt: 2:   4 Subset Builder Notation
  222.    wt: 2:   2 Venn Diagrams
  223.    wt: 2:   1 Finite Sets
  224.    wt: 2:   6 Three Notions of What is a Variable
  225.    wt: 2:   5 Talking about Numbers and Quantities
  226.    wt: 2:   4 A Brief Story of numbers and algebra
  227.    wt: 2:   3 Adding Words To Arithmetic
  228.    wt: 2:   2 What is a Variable
  229.    wt: 2:   1 Three Skills For Algebra
  230.    wt: 2:   About Folder Contents
  231.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  232.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  233.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  234.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  235.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  236.    wt: 2:   Chapter 23 Links To Trigonometry
  237.    wt: 2:   Chapter 22 Complex Numbers
  238.    wt: 2:   Chapter 21 Arrow Addition
  239.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  240.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  241.    wt: 2:   Chapter 18. Slopes Areas Integration
  242.    wt: 2:   Chapter 17. Area Approximation
  243.    wt: 2:   Chapter 16. Velocity Approximation
  244.    wt: 2:   Chapter 15. Slope Approximation
  245.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  246.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  247.    wt: 2:   Chapter 13. Acceleration
  248.    wt: 2:   Chapter 12. Units and Slopes
  249.    wt: 2:   Chapter 11. Graphing Slope versus Position
  250.    wt: 2:   Chapter 10 Slopes and Units
  251.    wt: 2:   Chapter 8. Slope Interpretation
  252.    wt: 2:   Chapter 7 Slopes and Velocity
  253.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  254.    wt: 2:   Chapter 5. Slope Sign Tests
  255.    wt: 2:   Chapter 4. More Slope Sign Analysis
  256.    wt: 2:   Chapter 3. Slope Sign Analysis
  257.    wt: 2:   Chapter 2. Slopes and Ski Trails
  258.    wt: 2:   Chapter 1.Introduction
  259.    wt: 2:   Foreword
  260.    wt: 2:   Chapter 3 Algebra Starter Lessons
  261.    wt: 1:   Skills Chapter 5 Calculus
  262.    wt: 1:   8 analytic geometry etc
  263.    wt: 1:   6 polynomials etc
  264.    wt: 1:   5 logarithms and exponentials etc
  265.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  266.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  267.    wt: 1:   1 Calculator Starter Exercises
  268.    wt: 1:   7 Links Lessons Elsewhere
  269.    wt: 1:   12 Links Lessons elsewhere
  270.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  271.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  272.    wt: 1:   G.5 Motions With Bounded Velocities
  273.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  274.    wt: 1:   G.3 Constant Difference Theorem Proof
  275.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  276.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  277.    wt: 1:   F.5b Extreme Value Theorem
  278.    wt: 1:   F.5a Equicontinuity Theorems
  279.    wt: 1:   F.4 Finite Covering Theorem
  280.    wt: 1:   F.3 Intermediate Value Theorem
  281.    wt: 1:   F.2 Closed Range Theorem
  282.    wt: 1:   F.1 What Functions are Continuous
  283.    wt: 1:   E2 Algebraic Properties of Limits
  284.    wt: 1:   E1 Error Control Inequalities
  285.    wt: 1:   D2 Limits of Monotone Sequences
  286.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  287.    wt: 1:   C Triangle Inequalities
  288.    wt: 1:   B3 Bolzano Weierstrass Theorem
  289.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  290.    wt: 1:   PostScript For and Against Decimal Perspectives
  291.    wt: 1:   A1. Introduction
  292.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  293.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  294.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  295.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  296.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  297.    wt: 1:   More Algebra and Slope based Calculus Preview
  298.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  299.    wt: 1:   Site Reviews

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

Return to Page Top

Home << Search

[1] [2] [3] [4]

Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.